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Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187)
Claire Voisin
€ 236.91
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Description for Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187)
Hardback. Provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. This title delves into arguments originating in Nori's work that have been further developed by others. Series: Annals of Mathematics Studies. Num Pages: 176 pages. BIC Classification: PBCH; PBG; PBPD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 15. Weight in Grams: 428.
In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety--and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups--as well as its ... Read more
In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch-Beilinson conjectures, but also examines recent work by Voisin. The book focuses on two central objects: the diagonal of a variety--and the partial Bloch-Srinivas type decompositions it may have depending on the size of Chow groups--as well as its ... Read more
Product Details
Format
Hardback
Publication date
2014
Publisher
Princeton University Press
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
176
Place of Publication
New Jersey, United States
ISBN
9780691160504
SKU
V9780691160504
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Claire Voisin
Claire Voisin has been a senior researcher at France's National Center for Scientific Research since 1986.
Reviews for Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187)
"This dense, fascinating book by Voisin is a report of some of the exciting discoveries she has made in the quest of the secrets of algebraic cycles."
Alberto Collino, Zentralblatt MATH "[An advanced] reader will find a rich collection of ideas as well as detailed machinery with which to attack difficult problems in the field. Any complex geometer interested in the ... Read more
Alberto Collino, Zentralblatt MATH "[An advanced] reader will find a rich collection of ideas as well as detailed machinery with which to attack difficult problems in the field. Any complex geometer interested in the ... Read more